Least Common Multiple (LCM) of 124 and 98
The least common multiple (LCM) of 124 and 98 is 6076.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 124 and 98?
First, calculate the GCD of 124 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 98 = 1 remainder 26 |
| 2 | 98 ÷ 26 = 3 remainder 20 |
| 3 | 26 ÷ 20 = 1 remainder 6 |
| 4 | 20 ÷ 6 = 3 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 144 | 4464 |
| 127 and 70 | 8890 |
| 184 and 165 | 30360 |
| 159 and 184 | 29256 |
| 24 and 160 | 480 |